1. Properties of Logarithmic Functions
3.4
Properties of Logarithmic Functions

2. What you’ll learn about
Properties of Logarithms
Change of Base
Graphs of Logarithmic Functions with Base b
Re-expressing Data
… and why
The applications of logarithms are based on their many
special properties, so learn them well.

3. Properties of Logarithms

4. Example Proving the Product Rule for Logarithms

5. Example Proving the Product Rule for Logarithms

6. Example Expanding the Logarithm of a Product

7. Example Expanding the Logarithm of a Product

8. Example Condensing a Logarithmic Expression

9. Example Condensing a Logarithmic Expression

10. Change-of-Base Formula for Logarithms

11. Example Evaluating Logarithms by Changing the Base

12. Example Evaluating Logarithms by Changing the Base

13. Example Transforming Logarithmic Graphs
log x

14. Example Transforming Logarithmic Graphs

15. Example Transforming Logarithmic Graphs
log x
Since log x=

16. Quick Review

17. Quick Review Solutions